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Finding the Fourth Proportional to 49.88, 75.40 and 49.88

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Solution

The fourth proportional to 49.88, 75.40 and 49.88 is: 75.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.88 : 75.40 = 49.88 : x
  2. Step 2: Convert to fraction form
    49.88/75.40 = 49.88/x
  3. Step 3: Cross multiply
    49.88x = 75.40 × 49.88
  4. Step 4: Simplify right side
    49.88x = 3,761.02
  5. Step 5: Solve for x
    x = 3,761.02/49.88
  6. Step 6: Final answer
    x = 75.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.